Grade 8 Geometry Worksheets
Free printable geometry practice for Grade 8 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 8 Geometry Practice
Solve each problem. Show your work.
- 1.Two angles form a straight line. One angle is 94°. Find the other angle.
- 2.Reflect the point (-6, -4) across the y-axis. Give the new coordinates.
- 3.What is the sum of the interior angles of a 8-sided polygon?
- 4.Two angles form a straight line. One angle is 47°. Find the other angle.
- 5.Reflect the point (1, 3) across the y-axis. Give the new coordinates.
- 6.What is the sum of the interior angles of a 9-sided polygon?
Show answer key
- Question 1: 86°
- Question 2: (6, -4)
- Question 3: 1080°
- Question 4: 133°
- Question 5: (-1, 3)
- Question 6: 1260°
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Calculate the hypotenuse 'c' of a right triangle with legs a = 6 and b = 8 using the Pythagorean theorem (a² + b² = c²).
- 2.Find the volume of a cylinder with a radius of 3 and a height of 10. Use 3.14 for pi (V = pi * r² * h).
- 3.A point at (2, 3) is translated by (x + 4, y - 2). What are the new coordinates?
- 4.Find the missing interior angle 'x' of a triangle if the other two angles are 50 degrees and 60 degrees.
- 5.Calculate the surface area of a cylinder with a radius of 2 and a height of 5. Use 3.14 for pi (SA = 2 * pi * r² + 2 * pi * r * h).
- 6.A point at (5, 5) is reflected across the y-axis. What are the new coordinates?
A selection of topic skills
Solve each problem. Show your work.
- 1.A right-angled triangle has legs measuring 6 cm and 8 cm. Calculate the length of the hypotenuse using the Pythagorean theorem.
- 2.A cylinder has a radius of 4 cm and a height of 10 cm. Calculate the volume of the cylinder. (Use 3.14 for pi).
- 3.Point A is located at (2, 3) on a coordinate plane. If the point is reflected across the x-axis, what are the new coordinates of A'?
- 4.Two parallel lines are intersected by a transversal. If one interior angle measures 65 degrees, what is the measure of its corresponding exterior angle?
- 5.A cylindrical water tank has a diameter of 6 meters and a height of 5 meters. If you want to paint the side surface area (the lateral area) of the tank, how many square meters will you be painting? (Use 3.14 for pi).
- 6.A 10-foot ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall. How high up the wall does the top of the ladder reach?
Learn with examples, then practise on paper
Open these free lessons for visual examples, printable worksheets and worked answers. No account is needed. These are practice resources; completing one does not establish mastery of a whole topic.
- Translations, Reflections and Rotations
- Similar Shapes and Scale Factors
- Area of a Circle Practice
- Circumference of a Circle Practice
- Cylinder Nets and Surface Area
What Your Child Will Learn
Grade 8 geometry culminates with the Pythagorean theorem, giving students a powerful tool for finding an unknown side length in a right triangle when the other two sides are known. Students verify the relationship using area models built on each side of a right triangle before applying it to real-world problems like finding the diagonal of a rectangle or the length of a ladder against a wall.
Transformations are studied formally on the coordinate plane, with students describing translations, reflections, rotations, and dilations using precise coordinate rules and recognizing the properties that each transformation preserves, such as distance or angle measure. Students also solve multi-step problems involving the surface area and volume of cylinders, cones, and spheres, and use similarity and the Pythagorean theorem together to solve complex, real-world spatial problems.
Skills Covered
- Applying the Pythagorean theorem to find unknown side lengths
- Verifying the Pythagorean theorem using area models
- Describing translations, reflections, rotations, and dilations using coordinates
- Identifying properties preserved under each type of transformation
- Calculating surface area and volume of cylinders, cones, and spheres
- Solving real-world problems combining similarity and the Pythagorean theorem
Curriculum Aligned: Aligned with Strand E (Spatial Sense): applying the Pythagorean theorem and performing transformations on the coordinate plane.
Parent Tip: Measure the diagonal of a rectangular table or TV screen and compare it to the Pythagorean theorem's prediction using the side lengths — real measurements make an abstract formula feel provable.
What your child will practice
Practice core geometry skills aligned with Grade 8 curriculum standards, including problem-solving and conceptual understanding.
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Check my workFrequently Asked Questions
Why is geometry important in math?
Geometry develops spatial reasoning, logical thinking, and proof skills. It connects math to the physical world through shapes, measurements, and transformations.
How can I support geometry learning at home?
Build with blocks, identify shapes in the environment, measure rooms, and use drawing tools. Hands-on activities make geometry concepts concrete.
What geometry topics are covered in each grade?
K-2: identifying shapes and their properties. Grades 3-5: area, perimeter, angles. Grades 6-8: coordinate geometry, transformations, volume. Grades 9-12: proofs, trigonometry, circles.